Homework Help:
Rotational energy

initially, there is a cylinder with a moment of inertia [tex]I_1[/tex] and angular velocity [tex]\omega_i[/tex] A second cylinder that has a moment of inertia of [tex]I_2[/tex] and is not rotatiing drops onto the first cylinder show http://home.earthlink.net/~urban-xrisis/clip_image001.jpg [Broken]. There is friction between the surfaces and the two objects reach the same angular speed of [tex]\omega_f[/tex]

I need to show that the kinetic energy decreases in this interaction and also calcualte the ratio of the final rotational energy to the initial rotational energy.